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Newsletter 2003


RIVIERE-FABES SYMPOSIUM

The Sixth Riviere-Fabes Symposium on Analysis and PDE was held at the School of Mathematics from April 25th to the 27th, 2003. Professor's Ronald Coifman (Yale University) and Michael Christ (Berkeley) each delivered two lectures describing beautiful and varied applications of harmonic and functional analysis. Coifman's two talks centered on approximation in high dimensions, in particular various issues involved in approximating empirical functions of a large number of parameters (e.g. geometric analysis of data sets embedded in high dimensions.) Michael Christ spoke on recent ill-posedness results for nonlinear Schrodinger equations, and also recent work on the d-bar Neumann problem, magnetic Schrodinger operators, and the Aharonov-Bohm phenomenon. Other speakers were Alex Iosevich (Missouri), "Analysis and combinatorics of distances set"; Gerd Mockenhaupt (Georgia Tech), "On the Hardy-Littlewood majorant property"; Camil Muscalu (UCLA), "Multilinear singular integrals"; and Mikhail Safonov (Minnesota), "Mean value theorem for harmonic functions: some unusual applications". The conference dinner was Saturday evening in the newly renovated Campus Club in Coffman Union. We were fortunate to be joined there by Esther Fabes.

The organizing committee consisted of Fernando Reitich, M. Carme Calderer, Markus Keel, Carlos Kenig (U of Chicago), and Walter Littman.
The conference was expertly managed by Harry Singh and Kathy Swedell.

History:
This Symposium was established in memory of our colleagues Nestor M. Riviere and Eugene B. Fabes. Both of them were analysts and did their graduate work together at the University of Chicago. After finishing his Ph.D. under Alberto Calderon in 1966, Nestor joined the School of Mathematics the same year. Gene finished his Ph.D. under Antoni Zygmund in 1965 and spent two years at Rice University before coming to Minnesota in 1967. The two started a new era in classical analysis at Minnesota. Unfortunately for us, cancer claimed Nestor's life at the young age of 38 in 1978, ending a brilliant career. The department established the Nestor M. Rivire Lecture in his memory. Every year a highly distinguished mathematician delivers a lecture in the broad area of analysis. Gene usually took care of the organizational work and the Rivire Lecture was supported by a fund established by donations from friends of Nestor. In 1997 another tragedy struck. Gene passed away just after he turned sixty and was still at the peak of his productive career. A list of his mathematical achievements can be found in his obituary in the Amer. Math. Soc. Notices, v. 45 (1998), pp. 706-708, and in the Journal of Fourier Analysis and Appl., v. 4, no. 4/5 (1998). Former colleagues, students and friends of Nestor and Gene from all over the world expressed the sentiment that we should establish an annual symposium in their memory. Families of Nestor and Gene fully endorsed the idea of turning the Nestor M. Rivire Lecture into the Rivire-Fabes Symposium. With financial support from interested people the symposium was formally established in 1998.

THE SEVENTH RIVIERE-FABES SYMPOSIUM ON ANALYSIS AND PDE,
APRIL 23-25, 2004.

Two one-hour lectures will be delivered by Professors H. Brezis, Rutgers University, and S.R.S Varadhan, Courant Institute. In addition, the following speakers will each give a one-hour talk: J. Pipher, Brown University, S. Wu, University of Michigan, Ann Arbor, and A. Nagel and A. Kiselev, University of Wisconsin, Madison.

Organizers: Nicolai Krylov (Chair), Carlos Kenig, Walter Littman, Fernando Reitich, Ofer Zeitouni

SMALL ALGEBRAIC TOPOLOGY CONFERENCE, SEPTEMBER 19-21, 2003

A conference in algebraic topology was organized to coincide with the visit of Jean Lannes (Ecole Polytechnique) as Ordway Visiting Professor in the Mathematics Department. The speakers were W. Chacholski (Minnesota), A. Adem (Wisconsin), P. Goerss and S. Priddy (Northwestern), H. Sadofsky (Oregon), J. Morava and S. Wilson (Johns Hopkins), F. Cohen (Rochester), N. Kuhn (Virginia) and J. Strom (Western Michigan) as well as Prof. Lannes himself. The overall theme of the talks tended to reflect the powerful algebraic techniques in use in topology, some of them pioneered by participants at the conference, and in which many conference participants were expert. The occasion provided an opportunity for interaction in this interdisciplinary area of algebra and topology, between researchers who know each other quite well but see each other infrequently, and also between several of the graduate students in the department and the visitors.A conference dinner was held in the Jewel of India' on Saturday night,September 20. The conference was privately funded, and the organizers were Professors Badzioch, Feshbach, Gershenson, Kahn, Voronov and Webb. The conference was judged by the participants to be a total success!
   
 

THE 52nd MIDWEST CONFERENCE IN PARTIAL DIFFERENTIAL EQUATIONS
NOVEMBER 15-16, 2003

The Conference, hosted by the School of Mathematics, was attended by over50 participants, including more than 25 out of town visitors, who heardsome very interesting talks from the following speakers: John Lewis (Kentucky), Yi Li (Iowa), Igor Rodnianski (Princeton/IAS), Mikhail Safonov (Minnesota), Sylvia Serfaty (Courant), Gieri Simonett (Vanderbilt), Daniel Tataru (UC Berkeley), and Kevin Zumbrun (Indiana). The conference dinner was held Saturday evening at the Sawatdee Thai restaurant. Special thanks to Kathy Swedell and Harry Singh for their management of the conference. (To give just one example: Harry's acrobatic negotiating skills produced not one but two (!!) desserts on the banquet table Saturday night.) Thanks also to Rhonda Dragan for a beautiful and useful web-site and to Kate Houser and Leanne Hewitt for timely advice on conference planning. The organizers of the conference were M. Keel, N. Krylov, W. Littman, P. Polacik, and V. Sverak.

CONFERENCE ON "NEW DEVELOPMENTS IN NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS",
JUNE 23 - 25, 2004

Professor James Serrin is organizing a workshop to be held June 23 - June 25 at the University of Minnesota on the topic "New Developments in Nonlinear Partial Differential Equations". The workshop is supported by the Participating Institutions of the IMA and also by the University of Minnesota Foundation.
Speakers will include Filippo Gazzola, Hans-Christoph Grunau, Giovanni Leoni, Gary Lieberman, Enzo Mitidieri, Patrizia Pucci, Marco Rigoli, Guido Sweers, Moxun Tang, Grozdena Todorova, Hans Weinberger, and Henghui Zou. For further information please contact James Serrin.

SECOND YAMABE MEMORIAL SYMPOSIUM

The Second Yamabe Memorial Symposium is being planned for September 17 - 19, 2004. The symposium will take place in the School of Mathematics. The topic chosen for this high-level conference is "Geometry and Physics". The list of confirmed speakers includes the eminent mathematicians Robert Bryant, Duke University; Kefeng Liu, U.C.L.A.; Duong Phong, Columbia University; Yongbin Ruan, University of Wisconsin; Isadore M. Singer, M.I.T.; and Shing-Tung Yau, Harvard University.
Organizing Committee: R. Gulliver (Chair), N. C. Leung, T.-J. Li, J. Wang

Robert Gulliver, Professor and Chair of the Yamabe Symposium Committee

History:
Yamabe Memorial Symposium, in honor of the distinguished mathematician Hidehiko Yamabe (1923-1960), replaces, and continues in expanded form, the Yamabe Memorial Lecture which has been held annually since 1989, in alternating years, at the University of Minnesota and at Northwestern University. Lectures in this series have been given by Professors Neil Trudinger, Eugenio Calabi, Rick Schoen, Shizuo Kakutani, Craig Evans, Walter Rudin, Robert Hardt, Katsumi Nomizu, Fred Gehring, Richard Hamilton, Peter Sarnak, Jeff Cheeger and S.-T. Yau. The Yamabe Memorial Symposium is an enhancement of this tradition.
Mathematicians will gather every two years at the University of Minnesota for a long weekend to hear talks in an area related to geometry, to discuss the latest research and to interact with younger mathematicians.

Professor Hidehiko Yamabe (1923--1960) was an active and highly collaborative mathematician in the School of Mathematics at the University of Minnesota from 1954 until 1960, the year of his untimely death. His work on topological groups, geometry and analysis were outstanding contributions to modern mathematics.

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